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Finding the Fourth Proportional to 29,124, 43,701.84 and 11,593.80

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Solution

The fourth proportional to 29,124, 43,701.84 and 11,593.80 is: 17,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,124 : 43,701.84 = 11,593.80 : x
  2. Step 2: Convert to fraction form
    29,124/43,701.84 = 11,593.80/x
  3. Step 3: Cross multiply
    29,124x = 43,701.84 × 11,593.80
  4. Step 4: Simplify right side
    29,124x = 506,670,392.59
  5. Step 5: Solve for x
    x = 506,670,392.59/29,124
  6. Step 6: Final answer
    x = 17,397.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.